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3.0

Jul 17, 2017
07/17

by
Horacio Useche Losada

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Código fuente para calcular los ceros de Riemann

Topic: Riemann

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159

Sep 23, 2013
09/13

by
Chengyan Liu

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Through an equivalent condition on the Farey series set forth by Franel and Landau, we prove Riemann Hypothesis for the Riemann zeta-function and the Dirichlet L-function.

Source: http://arxiv.org/abs/math/9909153v1

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Aug 2, 2016
08/16

by
Riemann Bernhard

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Piece of work by Riemann, about Geometry and its fundaments

Topic: Mathematics

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87

Sep 24, 2013
09/13

by
Constantin Udriste

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We illustrate the flow or wave character of the metrics and curvatures of evolving manifolds, introducing the Riemann flow and the Riemann wave via the bialternate product Riemannian metric. This kind of evolutions are new and very natural to understand certain flow or wave phenomena in the nature as well as the geometry of evolving manifolds. It possesses many interesting properties from both mathematical and physical point of views. We reveal the novel features of Riemann flow and Riemann...

Source: http://arxiv.org/abs/1112.4279v4

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Jul 20, 2013
07/13

by
Maurice H. P. M. van Putten

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The Riemann-Lebesque Theorem is commonly proved in a few strokes using the theory of Lebesque integration. Here, the upper bound $2\pi|c_k(f)|\le S_k(f)-s_k(f)$ for the Fourier coefficients $c_k$ is proved in terms of majoring and minoring Riemann sums $S_k(f)$ and $s_f(k)$, respectively, for Riemann integrable functions $f(x)$. This proof has been used in a course on methods of applied mathematics.

Source: http://arxiv.org/abs/funct-an/9702003v1

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Sep 19, 2013
09/13

by
Tribikram Pati

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The Riemann Hypothesis is a conjecture made in 1859 by the great mathematician Riemann that all the complex zeros of the zeta function $\zeta(s)$ lie on the `critical line' ${Rl} s= 1/2$. Our analysis shows that the assumption of the truth of the Riemann Hypothesis leads to a contradiction. We are therefore led to the conclusion that the Riemann Hypothesis is not true.

Source: http://arxiv.org/abs/math/0703367v2

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Sep 19, 2013
09/13

by
Stella Anevski

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In this paper, we use counting theorems from the geometry of numbers to extend the Riemann-Roch theorem and the Riemann-Hurwitz formula to global fields of arbitrary characteristic.

Source: http://arxiv.org/abs/0910.3898v1

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Sep 22, 2013
09/13

by
Mohamed Boucetta

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A Riemann-Lie algebra is a Lie algebra $\cal G$ such that its dual ${\cal G}^*$ carries a Riemannian metric compatible (in the sense introduced by th author in C. R. Acad. Paris, t. 333, S\'erie I, (2001) 763-768) with the canonical linear Poisson sructure of ${\cal G}^*$. The notion of Riemann-Lie algebra has its origins in the study, by the author, of Riemann-Poisson manifolds (see Preprint math.DG/0206102 to appear in Differential Geometry and its Applications). In this paper, we show that,...

Source: http://arxiv.org/abs/math/0310293v1

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10.0

Jun 29, 2018
06/18

by
Germán Sierra

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We present a spectral realization of the Riemann zeros based on the propagation of a massless Dirac fermion in a region of Rindler spacetime and under the action of delta function potentials localized on the square free integers. The corresponding Hamiltonian admits a self-adjoint extension that is tuned to the phase of the zeta function, on the critical line, in order to obtain the Riemann zeros as bound states. The model provides a proof of the Riemann hypothesis in the limit where the...

Topics: High Energy Physics - Theory, Mathematical Physics, Quantum Physics, Mathematics

Source: http://arxiv.org/abs/1601.01797

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Jul 20, 2013
07/13

by
Rodrigo López Pouso

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We study the existence of Riemann-Stieltjes integrals of bounded functions against a given integrator. We are also concerned with the possibility of computing the resulting integrals by means of related Riemann integrals. In particular, we present a new generalization to the well-known formula for continuous integrands and continuously differentiable integrators.

Source: http://arxiv.org/abs/1107.1996v1

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1.2K

Aug 18, 2013
08/13

by
Hugo Riemann

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Riemann Musiklexikon 10teA 1922 Musik-Lexikon. Main Author: Riemann, Hugo, 1849-1919. Other Authors: Einstein, Alfred, 1880-1952. Published: Berlin, M. Hesse, 1922. Edition: 10. Aufl. 1469 p. music. = Hathi mdp.39015023343067

Topics: german, music dictionary

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8.0

Jun 30, 2018
06/18

by
Jörg Winkelmann

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We prove that every Riemann surface not isomorphic to the Riemann sphere admits an infinitesimal deformation of the complex structure. The proof is based in an investigation of the length of geodesics for the Kobayashi/Poincare metric.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1410.7086

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1.2K

Sep 3, 2010
09/10

by
Hugo Riemann

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Riemann Musiklexikon 07teA 1909 Hugo Riemanns Musik-Lexikon. Main Author: Riemann, Hugo, 1849-1919. Published: Leipzig : M. Hesse, 1909. Edition: 7. vollständig umgearb. Aufl. Note: Issued in 28 pts. Physical Description: xxiii, 1598 p. ; 22 cm. = Hathi uc.b3563636

Topics: music, dictionary

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Sep 24, 2013
09/13

by
Ricardo Perez Marco

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We numerically study the statistical properties of differences of zeros of Riemann zeta function and L-functions predicted by the theory of the e\~ne product. In particular, this provides a simple algorithm that computes any non-real Riemann zeros from very large ones ("self-replicating property of Riemann zeros"). Also the algorithm computes the full sequence of non-real zeros of Riemann zeta function from the sequence of non-real zeros of any Dirichlet L-function ("zeros of...

Source: http://arxiv.org/abs/1112.0346v1

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Sep 23, 2013
09/13

by
Raghunath Acharya

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We present a quantum mechanical model which establishes the veracity of the Riemann hypothesis that the non-trivial zeros of the Riemann zeta-function lie on the critical line of $\zeta(s)$.

Source: http://arxiv.org/abs/0903.3973v1

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248

Sep 3, 2010
09/10

by
Hugo Riemann

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Riemann Musiklexikon 10teA 1922 Musik-Lexikon. Main Author: Riemann, Hugo, 1849-1919. Other Authors: Einstein, Alfred, 1880-1952. Published: Berlin, M. Hesse, 1922. Edition: 10. Aufl. 1469 p. music. = Hathi mdp.39015023343067

Topics: music, dictionary

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725

Sep 2, 2010
09/10

by
Hugo Riemann

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Riemann Musiklexikon 10teA 1922 Musik-Lexikon. Main Author: Riemann, Hugo, 1849-1919. Other Authors: Einstein, Alfred, 1880-1952. Published: Berlin, M. Hesse, 1922. Edition: 10. Aufl. Physical Description: 1469 p. music. = Hathi mdp.39015023343067

Topics: music, dictionary

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60

Jul 17, 2017
07/17

by
Horacio Useche Losada

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Refuta la conjetura de Riemann, probando que es falsa

Topics: Conjetura de Riemann, Riemann

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84

Sep 21, 2013
09/13

by
C. A. Mantica; L. G. Molinari

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Derdzinski and Shen's theorem on the restrictions posed by a Codazzi tensor on the Riemann tensor holds more generally when a Riemann-compatible tensor exists. Several properties are shown to remain valid in this broader setting. Riemann compatibility is equivalent to the Bianchi identity of the new "Codazzi deviation tensor" with a geometric significance. Examples are given of manifolds with Riemann-compatible tensors, in particular those generated by geodesic mapping. Compatibility...

Source: http://arxiv.org/abs/1204.1211v2

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10.0

Jun 27, 2018
06/18

by
Takashi Nakamura

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Let $\sigma,t\in{\mathbb{R}}$, $s=\sigma+\mathrm{{i}}t$, $\Gamma (s)$ be the Gamma function, $\zeta(s)$ be the Riemann zeta function and $\xi(s):=s(s-1)\pi ^{-s/2}\Gamma(s/2)\zeta(s)$ be the complete Riemann zeta function. We show that $\Xi_{\sigma}(t):=\xi (\sigma-\mathrm{{i}}t)/\xi(\sigma)$ is a characteristic function for any $\sigma\in{\mathbb{R}}$ by giving the probability density function. Next we prove that the Riemann hypothesis is true if and only if each $\Xi_{\sigma}(t)$ is a...

Topics: Statistics, Mathematics, Statistics Theory

Source: http://arxiv.org/abs/1504.03438

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143

Sep 21, 2013
09/13

by
Dorin Ghisa

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Global mapping properties of the Riemann Zeta function are used to investigate its non trivial zeros.

Source: http://arxiv.org/abs/0905.1527v4

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44

Sep 23, 2013
09/13

by
Shangli Ou

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We introduce a new technique for constructing three-dimensional (3D) models of incompressible Riemann S-type ellipsoids and compressible triaxial configurations that share the same velocity field as that of Riemann S-type ellipsoids. Our incompressible models are exact steady-state configurations; our compressible models represent approximate steady-state equilibrium configurations. Models built from this method can be used to study a variety of relevant astrophysical and geophysical problems.

Source: http://arxiv.org/abs/astro-ph/0511047v1

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9.2K

Aug 7, 2012
08/12

by
Hugo Riemann

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Riemann Musiklexikon 11teA 1929 Zwei Baende in einem. 2105 S. Including German OCR and alphabetical index

Topics: music dictionary, german

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Sep 19, 2013
09/13

by
Miran Cerne

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Let S be a bordered Riemann surface with genus g and m boundary components. For a smooth family of smooth Jordan curves in the complex plane parametrized by the boundary of S and such that all curves contain 0 in their interior we show that there exists a holomorphic solution of the corresponding Riemann-Hilbert problem with at most 2g+m-1 zeros on S.

Source: http://arxiv.org/abs/math/0209320v1

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2.0K

Sep 2, 2010
09/10

by
Hugo Riemann

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Riemann Musiklexikon 09teA 1919 Hugo Riemann's Musik-Lexikon. Main Author: Riemann, Hugo, 1849-1919. Other Authors: Einstein, Alfred, 1880-1952. Published: Berlin : Max Hesses Verlag, 1919. Edition: 9. vom Verfasser noch vollständig umgearb. Aufl. / Note: At head of title: Jubiläums-Ausgabe. Physical Description: xix, 1355 p. : ill. ; 26 cm. = Hathi uc1.b3564129

Topics: music, dictionary

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37

Sep 18, 2013
09/13

by
Scott B. Guthery

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Another approach to constructing an upper bound for the Riemann-Farey sum is described.

Source: http://arxiv.org/abs/0704.1764v2

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47

Sep 20, 2013
09/13

by
Scott B. Guthery

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An approach to constructing an upper bound for the Riemann-Farey sum is described.

Source: http://arxiv.org/abs/math/0608502v2

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49

Sep 20, 2013
09/13

by
Victor Guillemin; Shlomo Sternberg

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We show that the Euler-MacLaurin formula for Riemann sums has an n-dimensional analogue in which intervals on the line get replaced by convex polytopes.

Source: http://arxiv.org/abs/math/0608171v1

This item represents a case in PACER, the U.S. Government's website for federal case data. If you wish to see the entire case, please consult PACER directly.

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52

Sep 22, 2013
09/13

by
Linas Vepstas

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This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is difficult to attack through traditional analytic techniques, and thus this note focuses on providing a numerical survey. These results indicate a broad class of previously unexamined functions may obey the Riemann hypothesis in general, and even share the non-trivial zeros in particular.

Source: http://arxiv.org/abs/1101.0311v1

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47

Sep 18, 2013
09/13

by
Patricio S. Letelier

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A geometric flow based in the Riemann-Christoffel curvature tensor that in two dimensions has some common features with the usual Ricci flow is presented. For $n$ dimensional spaces this new flow takes into account all the components of the intrinsic curvature. For four dimensional Lorentzian manifolds it is found that the solutions of the Einstein equations associated to a "detonant" sphere of matter, as well, as a Friedman-Roberson-Walker cosmological model are examples of...

Source: http://arxiv.org/abs/0707.0215v4

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Sep 19, 2013
09/13

by
Bernard Deconinck; Matthias Heil; Alexander Bobenko; Mark van Hoeij; Markus Schmies

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The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics. In this paper, algorithms for its computation are given. First, a formula is derived allowing the pointwise approximation of Riemann theta functions, with arbitrary, user-specified precision. This formula is used to construct a uniform approximation formula, again with arbitrary precision.

Source: http://arxiv.org/abs/nlin/0206009v2

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3.0

Jun 30, 2018
06/18

by
Michel Planat; Patrick Solé

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Prime number theorem asserts that (at large $x$) the prime counting function $\pi(x)$ is approximately the logarithmic integral $\mbox{li}(x)$. In the intermediate range, Riemann prime counting function $\mbox{Ri}^{(N)}(x)=\sum_{n=1}^N \frac{\mu(n)}{n}\mbox{Li}(x^{1/n})$ deviates from $\pi(x)$ by the asymptotically vanishing sum $\sum_{\rho}\mbox{Ri}(x^\rho)$ depending on the critical zeros $\rho$ of the Riemann zeta function $\zeta(s)$. We find a fit $\pi(x)\approx \mbox{Ri}^{(3)}[\psi(x)]$...

Topics: Mathematics, Number Theory

Source: http://arxiv.org/abs/1410.1083

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4.0

Jun 28, 2018
06/18

by
Kingshook Biswas; Ricardo Perez-Marco

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We introduce the notion of log-Riemann surfaces. These are Riemann surfaces given by cutting and pasting planes together isometrically, and come equipped with a holomorphic local diffeomorphism to C called the projection map, and a corresponding flat metric obtained by pulling back the Euclidean metric. We define ramification points to be the points added in the metric completion of the surface with respect to the induced path metric; any such point has a well-defined order $1 \leq n \leq...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1512.03776

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Sep 20, 2013
09/13

by
Robert Carroll

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We organize and review some material from various sources about prepotentials, Riemann surfaces and kernels, WDVV, and the renormalization group, provide some further connections and information, and indicate some directions and problems.

Source: http://arxiv.org/abs/hep-th/9802130v3

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Sep 23, 2013
09/13

by
Ilgar Sh. Jabbarov

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In the paper the well known Riemann Hypothesis is proven. The proof is based on uniform approximation of the zeta function discs of the critical strip placed to the right from the critical line.The basic moment is a use of a new mesure introduced in the infinite dimensional unite cube different from the Haar or product measures

Source: http://arxiv.org/abs/1006.0381v4

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Sep 23, 2013
09/13

by
Veit Elser

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The level set of an elliptic function is a doubly periodic point set in C. To obtain a wider spectrum of point sets, we consider, more generally, a Riemann surface S immersed in C^2 and its sections (``cuts'') by C. We give S a crystallographic isometry in C^2 by defining a fundamental surface element as a conformal map of triangular domains and S as its extension by reflections in the triangle edges. Our main result concerns the special case of maps of right triangles, with the right angle...

Source: http://arxiv.org/abs/math/9904016v1

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2.6K

Mar 2, 2012
03/12

by
Mennicke, Carl, 1880-1917

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Dedication signed: Carl Mennicke

Topics: Riemann, Hugo, 1849-1919, Music

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5.0

Jun 30, 2018
06/18

by
Toshikazu Sunada

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The primary aim of this chapter is, commemorating the 150th anniversary of Riemann's death, to explain how the idea of {\it Riemann sum} is linked to other branches of mathematics. The materials I treat are more or less classical and elementary, thus available to the "common mathematician in the streets." However one may still see here interesting inter-connection and cohesiveness in mathematics.

Topics: History and Overview, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1701.04699

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Jul 20, 2013
07/13

by
Michael Temkin

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In this paper we study relative Riemann-Zariski spaces attached to a morphism of schemes and generalizing the classical Riemann-Zariski space of a field. We prove that similarly to the classical RZ spaces, the relative ones can be described either as projective limits of schemes in the category of locally ringed spaces or as certain spaces of valuations. We apply these spaces to prove the following two new results: a strong version of stable modification theorem for relative curves; a...

Source: http://arxiv.org/abs/0804.2843v2

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Sep 19, 2013
09/13

by
Gia Giorgadze

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We discuss some topological aspects of the Riemann-Hilbert transmission problem and Riemann-Hilbert monodromy problem on Riemann surfaces. In particular, we describe the construction of a holomorphic vector bundle starting from the given representation of the fundamental group and investigate the local behaviour of connexions on this bundle. We give formulae for the partial indices of the Riemann-Hilbert transmission problem in the three-dimensional case in terms of the correspoding vector...

Source: http://arxiv.org/abs/math/9804035v1

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Sep 22, 2013
09/13

by
G. Bertoldi; J. M. Isidro; M. Matone; P. Pasti

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We compactify M(atrix) theory on Riemann surfaces Sigma with genus g>1. Following [1], we construct a projective unitary representation of pi_1(Sigma) realized on L^2(H), with H the upper half-plane. As a first step we introduce a suitably gauged sl_2(R) algebra. Then a uniquely determined gauge connection provides the central extension which is a 2-cocycle of the 2nd Hochschild cohomology group. Our construction is the double-scaling limit N\to\infty, k\to-\infty of the representation...

Source: http://arxiv.org/abs/hep-th/0003131v1

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8.0

Jun 27, 2018
06/18

by
Zhan-Dong Mei; Ji-Gen Peng

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In this paper, a new notion, named Riemann-Liouville fractional cosine function is presented. It is proved that a Riemann-Liouville $\alpha$-order fractional cosine function is equivalent to Riemann-Liouville $\alpha$-order fractional resolvents introduced in [Z.D. Mei, J.G. Peng, Y. Zhang, Math. Nachr. 288, No. 7, 784-797 (2015)].

Topics: Functional Analysis, Mathematics

Source: http://arxiv.org/abs/1505.01388

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Sep 21, 2013
09/13

by
J. Arnlind; M. Bordemann; L. Hofer; J. Hoppe; H. Shimada

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We introduce C-Algebras (quantum analogues of compact Riemann surfaces), defined by polynomial relations in non-commutative variables and containing a real parameter that, when taken to zero, provides a classical non-linear, Poisson-bracket, obtainable from a single polynomial C(onstraint) function. For a continuous class of quartic constraints, we explicitly work out finite dimensional representations of the corresponding C-Algebras.

Source: http://arxiv.org/abs/hep-th/0602290v1

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6.0

Jun 26, 2019
06/19

by
Farkas, Hershel M

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xvi, 363 p. ; 25 cm

Topic: Riemann surfaces

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Sep 20, 2013
09/13

by
Christian Mercat

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We detail the theory of Discrete Riemann Surfaces. It takes place on a cellular decomposition of a surface, together with its Poincar\'e dual, equipped with a discrete conformal structure. A lot of theorems of the continuous theory follow through to the discrete case, we define the discrete analogs of period matrices, Riemann's bilinear relations, exponential of constant argument and series. We present the notion of criticality and its relationship with integrability.

Source: http://arxiv.org/abs/0802.1612v1

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Sep 17, 2013
09/13

by
Joakim Arnlind; Martin Bordemann; Laurent Hofer; Jens Hoppe; Hidehiko Shimada

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We introduce C-Algebras of compact Riemann surfaces $\Sigma$ as non-commutative analogues of the Poisson algebra of smooth functions on $\Sigma$. Representations of these algebras give rise to sequences of matrix-algebras for which matrix-commutators converge to Poisson-brackets as $N\to\infty$. For a particular class of surfaces, nicely interpolating between spheres and tori, we completely characterize (even for the intermediate singular surface) all finite dimensional representations of the...

Source: http://arxiv.org/abs/0711.2588v1

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Jun 15, 2011
06/11

by
Mark L. Gurari

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Abstract: By redefinition of inner product and orthogonality concepts it has been gotten a formula for Fourier transform in Riemann space. It is proved, that n-dimensional Riemann space can be considered as two Euclidian n-spaces with one scalar limitation. As a local measure of the Riemann space curvature can be used cosine of angle between these two systems.

Topics: Fourier transform, Riemann space, orthogonality, curvature

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7.0

Jun 30, 2018
06/18

by
JinHua Fei

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This paper use Nevanlinna's Second Main Theorem of the value distribution theory, we got an important conclusion by Riemann hypothesis. this conclusion contradicts the Theorem 8.12 in Titchmarsh's book "Theory of the Riemann Zeta-functions", therefore we prove that Riemann hypothesis is incorrect.

Topics: Mathematics, General Mathematics

Source: http://arxiv.org/abs/1407.4545

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Sep 22, 2013
09/13

by
Robert Brooks; Eran Makover

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In this paper, we address the following question: What does a typical compact Riemann surface of large genus look like geometrically? We do so by constructing compact Riemann surfaces from oriented 3-regular graphs. The set for such Riemann surfaces is dense in the space of all compact Riemann surfaces, namely Belyi surfaces. And in this construction we can control the geometry of the compact Riemann surface by the geometry of the graph. We show that almost all such surfaces have large first...

Source: http://arxiv.org/abs/math/0106251v1